Предмет: Алгебра, автор: senpaiyour365

найдите длины сторон прямоугольного треугольника если его площадь 96 см² и один катет больше другого на 4см​

Ответы

Автор ответа: omg10726
6

Объяснение:

1)площадь равна половине произведения его катетов, обозначим один катет за х, другой за у

2)площадь=1/2*х*у=96

ху=192

катет х=катет у+4

у(у+4)=192

у^2+4у=192

y=12

3) x=12+4=16

4) по теореме Пифагора

12^2+16^2=гипотенуза^2

144+256=гипотенуза^2

400=гипотенуза^2

гипотенуза =20

omg10726: если ответ устраивает, прошу назвать его лучшим
ajialiana34: спасибо я вам очень блогадарна это лучший отвед
omg10726: есть функция "лучший ответ", используйте её пожалуйста
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